Pure projective modules and FP-injective modules over Morita rings

doi:10.1007/s11464-020-0877-2

Front. Math. China

2020, Vol. 15

Issue (6) : 1265-1293 https://doi.org/10.1007/s11464-020-0877-2

RESEARCH ARTICLE

Pure projective modules and FP-injective modules over Morita rings

Meiqi YAN, Hailou YAO(

)

College of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, China

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Abstract

Let $Λ (0, 0) = (A A N B B N A B)$ be a Morita ring, where the bimodule homomorphisms $ϕ$ and $ψ$ are zero. We study the finite presentedness, locally coherence, pure projectivity, pure injectivity, and FP-injectivity of modules over $Λ (0, 0)$ . Some applications are then given.

Keywords Morita ring finitely presented pure projective pure injective locally coherent FP-injective

Corresponding Author(s): Hailou YAO

Issue Date: 05 February 2021

Cite this article:

Meiqi YAN,Hailou YAO. Pure projective modules and FP-injective modules over Morita rings[J]. Front. Math. China, 2020, 15(6): 1265-1293.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0877-2
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I6/1265

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